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Asymptotics of solutions to Schroedinger equations with singular dipole-typepotentials is investigated. We evaluate the exact behavior near the singularityof solutions to elliptic equations with potentials which are purely angularmultiples of radial inverse-square functions. Both the linear and thesemilinear (critical and subcritical) cases are considered.

On the behavior of solutions to Schrödinger equations with dipole type potentials near the singularity